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Finding the Fourth Proportional to 47,792.52, 71,690.62 and 24,391.62

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Solution

The fourth proportional to 47,792.52, 71,690.62 and 24,391.62 is: 36,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.52 : 71,690.62 = 24,391.62 : x
  2. Step 2: Convert to fraction form
    47,792.52/71,690.62 = 24,391.62/x
  3. Step 3: Cross multiply
    47,792.52x = 71,690.62 × 24,391.62
  4. Step 4: Simplify right side
    47,792.52x = 1,748,650,360.60
  5. Step 5: Solve for x
    x = 1,748,650,360.60/47,792.52
  6. Step 6: Final answer
    x = 36,588.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.